Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution
dc.contributor.author
Kröger, Martin
dc.contributor.author
Ilg, Patrick
dc.date.accessioned
2022-08-09T14:05:24Z
dc.date.available
2022-08-01T04:30:54Z
dc.date.available
2022-08-09T14:05:24Z
dc.date.issued
2022
dc.identifier.issn
0218-2025
dc.identifier.issn
1793-6314
dc.identifier.other
10.1142/S0218202522500300
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/561041
dc.identifier.doi
10.3929/ethz-b-000561041
dc.description.abstract
The magnetization dynamics of suspended superparamagnetic particles is governed by internal Neel relaxation as well as Brownian diffusion of the whole particle. We here present semi-analytical and numerical solutions of the kinetic equation, describing the combined rotation of particle orientation and magnetization. The solutions are based on an expansion of the joint probability density into a complete set of bipolar harmonics, leading to a coupled set of ordinary differential equations for the expansion coefficients. Extending previous works, we discuss the spectrum of relaxation times as well as convergence and limits of applicability of the method. Furthermore, we also provide the numerical scheme in electronic form, so that readers can readily implement and use the model.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
World Scientific
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Nanoparticles
en_US
dc.subject
magnetization
en_US
dc.subject
Fokker-Planck equation
en_US
dc.subject
Langevin dynamics
en_US
dc.subject
moment expansion
en_US
dc.subject
egg model
en_US
dc.subject
bipolar spherical harmonics
en_US
dc.title
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2022-06-21
ethz.journal.title
Mathematical Models and Methods in Applied Sciences
ethz.journal.volume
32
en_US
ethz.journal.issue
7
en_US
ethz.journal.abbreviated
Math. Models Methods Appl. Sci.
ethz.pages.start
1349
en_US
ethz.pages.end
1383
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.grant
VISIONNANO - Viscoelastic properties, entanglements, and polymer dynamics in ionic nanocomposites
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Singapore
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02160 - Dep. Materialwissenschaft / Dep. of Materials::02646 - Institut für Polymere / Institute of Polymers::03359 - Oettinger, Christian (emeritus) / Oettinger, Christian (emeritus)
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02160 - Dep. Materialwissenschaft / Dep. of Materials::02646 - Institut für Polymere / Institute of Polymers::03359 - Oettinger, Christian (emeritus) / Oettinger, Christian (emeritus)
ethz.grant.agreementno
185052
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
Projekte MINT
ethz.date.deposited
2022-08-01T04:31:15Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2022-08-09T14:05:33Z
ethz.rosetta.lastUpdated
2023-02-07T05:11:01Z
ethz.rosetta.versionExported
true
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